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Finding the Fourth Proportional to 7,420.62, 11,113.37 and 6,441.41

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Solution

The fourth proportional to 7,420.62, 11,113.37 and 6,441.41 is: 9,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.62 : 11,113.37 = 6,441.41 : x
  2. Step 2: Convert to fraction form
    7,420.62/11,113.37 = 6,441.41/x
  3. Step 3: Cross multiply
    7,420.62x = 11,113.37 × 6,441.41
  4. Step 4: Simplify right side
    7,420.62x = 71,585,768.23
  5. Step 5: Solve for x
    x = 71,585,768.23/7,420.62
  6. Step 6: Final answer
    x = 9,646.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.